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Finding the Fourth Proportional to 4,848.47, 7,272.42 and 1,728.31

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Solution

The fourth proportional to 4,848.47, 7,272.42 and 1,728.31 is: 2,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.47 : 7,272.42 = 1,728.31 : x
  2. Step 2: Convert to fraction form
    4,848.47/7,272.42 = 1,728.31/x
  3. Step 3: Cross multiply
    4,848.47x = 7,272.42 × 1,728.31
  4. Step 4: Simplify right side
    4,848.47x = 12,568,987.57
  5. Step 5: Solve for x
    x = 12,568,987.57/4,848.47
  6. Step 6: Final answer
    x = 2,592.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.